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AMPL: A Modeling Language for Mathematical Programming
Robert Fourer,Brian W. Kernighan +1 more
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TLDR
An efficient translator is implemented that takes as input a linear AMPL model and associated data, and produces output suitable for standard linear programming optimizers.Abstract:
Practical large-scale mathematical programming involves more than just the application of an algorithm to minimize or maximize an objective function. Before any optimizing routine can be invoked, considerable effort must be expended to formulate the underlying model and to generate the requisite computational data structures. AMPL is a new language designed to make these steps easier and less error-prone. AMPL closely resembles the symbolic algebraic notation that many modelers use to describe mathematical programs, yet it is regular and formal enough to be processed by a computer system; it is particularly notable for the generality of its syntax and for the variety of its indexing operations. We have implemented an efficient translator that takes as input a linear AMPL model and associated data, and produces output suitable for standard linear programming optimizers. Both the language and the translator admit straightforward extensions to more general mathematical programs that incorporate nonlinear expressions or discrete variables.read more
Citations
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Job rotation and work-related musculoskeletal disorders: a fatigue-failure perspective
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Fault-Tolerant Cooperative Motion Planning of Connected and Automated Vehicles at a Signal-Free and Lane-Free Intersection
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SYNOPSE: a model-based decision support system for the evaluation of flight schedules for cargo airlines
TL;DR: SYNOPSE, the model-based decision support system for the evaluation of flight schedules for cargo airlines, is introduced by describing the underlying planning situation, the data model and the decision models used, and the implementation, i.e., the development process, as well as the architecture.
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A convex chance-constrained model for reactive power planning
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Proceedings ArticleDOI
Longitudinal maneuver design in coordination layer for automated highway system
TL;DR: This paper presents the mathematical model and design procedure for coordination layer control using a hybrid system approach which unifies coordination layer and regulation layer and shows that this problem can be formulated as a mathematical programming problem, which can be easily modeled using AMPL modeling language software and readily solved by the MINOS solver.
References
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The UNIX programming environment
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Book
AMPL: a mathematical programming language
Robert Fourer,Brian W. Kernighan +1 more
TL;DR: A translator is implemented that takes as input a linear AMPL model and associated data, and produces output suitable for standard linear programming optimizers.
Book ChapterDOI
On the development of a general algebraic modeling system in a strategic planning environment
TL;DR: This paper describes the resulting development of a General Algebraic Modeling System (GAMS), which employs a rigorous algebraic representation of data and equations, coupled with relational database-type facilities, and draws comparisons to other modeling systems designed for large-scale linear programming problems.